List questions from obstruction-theory

Published on 21 Mar 2026 - 21:53

561

Views

Obstruction to lifting a map from the base space to the total space.

Published on 09 Jul 2016 - 10:56

212

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Is there a name given to a space whose first three Stiefel-Whitney classes vanish?

Published on 25 Mar 2026 - 11:11

342

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Do deformations of a vector bundle form a vector space?

Published on 25 Mar 2026 - 11:12

160

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Difference cochain properties

Published on 25 Mar 2026 - 11:08

377

Views

Obstruction to the splitness of short exact sequence in the category groups

Published on 23 Mar 2026 - 23:48

240

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Vanishing of certain cohomology class and existence of spin structure

Published on 08 Jan 2017 - 14:47

37

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Obstructions to smooth extending the smooth distribution from the boundary.

Published on 25 Mar 2026 - 11:12

26

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A class in $H^k(E)$ is pulled back from $H^k(X)$ if the class is zero when restricted to a fiber. How to show this explicitly?

Published on 01 May 2023 - 13:49

127

Views

relations between obstructions coming from Moore-Postnikov towers

Published on 25 Mar 2026 - 11:12

191

Views

How to prove that $\mathbb {CP}^\infty$ represents $H^2(-; \mathbb Z)$ without using a cell decomposition?

Published on 25 Mar 2026 - 11:10

57

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Existence of a global frame of a vector bundle $E$ over $\mathrm{S}^2\times \mathbb{R}^4$

Published on 25 Jul 2023 - 4:18

120

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Existence of complex line subbundle of complex bundles

Published on 06 Oct 2023 - 1:18

40

Views

lie algebra cohomology

Published on 18 Nov 2023 - 6:17

96

Views

multiple for first fractional Pontryagin class

Published on 25 Mar 2026 - 11:12

List Question

Computing a Gromov-Witten invariant

Obstruction to lifting a map from the base space to the total space.

Is there a name given to a space whose first three Stiefel-Whitney classes vanish?

Do deformations of a vector bundle form a vector space?

Difference cochain properties

Obstruction to the splitness of short exact sequence in the category groups

Vanishing of certain cohomology class and existence of spin structure

Obstructions to smooth extending the smooth distribution from the boundary.

A class in $H^k(E)$ is pulled back from $H^k(X)$ if the class is zero when restricted to a fiber. How to show this explicitly?

relations between obstructions coming from Moore-Postnikov towers

How to prove that $\mathbb {CP}^\infty$ represents $H^2(-; \mathbb Z)$ without using a cell decomposition?

Existence of a global frame of a vector bundle $E$ over $\mathrm{S}^2\times \mathbb{R}^4$

Existence of complex line subbundle of complex bundles

lie algebra cohomology

multiple for first fractional Pontryagin class

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